SOLUTION: 3. In a quality control unit of a newspaper printing, a newspaper is selected randomly each day from the production line to check the number of misprints in the newspaper. It is kn
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Question 1150535: 3. In a quality control unit of a newspaper printing, a newspaper is selected randomly each day from the production line to check the number of misprints in the newspaper. It is known from past experience that the average number of misprints is 2.5. By policy, if 3 or more misprints are
detected in a randomly selected newspaper, the printing process will be stoped.
(a) What is the probability that the printing process is stopped in a randomly chosen day? [5marks]
(b) Suppose that the quality control is conducted for 7 consecutive days. Find the probability that the printing process is stopped on exactly 5 out of these 7 days.
Having nothing else given, an appropriate hypothesis is to assume that we have random discrete variable X = "the number of misprint"
with integer random values which is uniformly distributed in the range [0,5] with the minimum value of 0 and the maximum value of 5.
Then the mean average is exactly 2.5 = = , as the problem states,
and the condition becomes "consistent with the given part" and "self-closed".
Then the answer to question (a) is P(X >= 3) = = (X may have values of 3, 4 or 5) of 6 possible integer values from 0 to 5.
Regarding your question (b), in your post it is formulated ambigously, and I do not understand its exact meaning.
Solved.
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